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Topic: Space diagonal

	Space diagonal - Wikipedia, the free encyclopedia
		In a magic cube, the four space diagonals are the lines that go from a corner of the cube, through the center of the cube, to the opposite corner.
		The word triagonal is derived from the fact that as you travel down the line, three coordinates change.
		The equivalent in a magic square is diagonal, because two coordinates change.
	en.wikipedia.org /wiki/Space_diagonal (109 words)

	Space diagonal -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-21)
		In a (additional info and facts about magic cube) magic cube, the four space diagonals are the lines that go from a corner of the cube, through the center of the cube, to the opposite corner.
		For the cube to be considered magic, these four lines must sum correctly.
		In a (additional info and facts about tesseract) tesseract it is quadragonal because 4 coordinates change, etc.
	www.absoluteastronomy.com /encyclopedia/s/sp/space_diagonal.htm (92 words)

	Generally-diagonal mapping of address space for row/column organizer memories - Patent 5490264
		In order to provide a diagonal pattern of storage in the columnar area (0), the preferred pattern begins at row (0) column (0), moves to row (1) column (1), then to row (2) column (2), then to row (3) column (3), and continues diagonally across the columnar area (0) to row (63) column (63).
		For example, one diagonal pattern might move from the upper left corner of each of the columnar areas to the lower right corner by sequentially addressing the first four rows (0-3) in column (0), then the next four rows (4-7) in column (1) and so on.
		In this manner a particular pattern of diagonal addresses is selected to accomplish the desired object or reducing the effect of row and common failures in a flash EEPROM memory array.
	www.freepatentsonline.com /5490264.html (7090 words)

	PCMI@MathForum: An Amazing, Space Filling, Non-regular Tetrahedron
		With some gentle guidance, most students will be able to visualize the triangle in space whose edges are the edge of the cube, the face diagonal (the diagonal on one of the square faces) and the space diagonal (the diagonal connecting two opposite vertices, and passing through the interior of the cube).
		When applied to a cube, the space diagonal is equal to s√3, where s is the edge length of the cube.
		This rectangle is a rectangle whose diagonals are two of the space diagonals AA' and BB' of the cube.
	www.mathforum.org /pcmi/hstp/resources/dodeca/paper.html (3450 words)

	Untitled (Site not responding. Last check: 2007-10-21)
		A space diagonal of this cube is used as an edge to form a second cube.
		A space diagonal of this second cube is used as an edge to form a third cube.
		The length of the blue diagonal is c, the square root of 2.
	www.gomath.com /Questions/p141.html (1236 words)

	World War 1 and 2 - Polynomially reflexive space (Site not responding. Last check: 2007-10-21)
		In mathematics, a polynomially reflexive space is a Banach space X, on which all polynomials are reflexive.
		In the presence of the approximation property of X, a reflexive Banach space is polynomially reflexive, if and only if every polynomial on X is weak sequentially continuous.
		as a quotient space, it is not polynomially reflexive.
	www.worldwardiary.com /history/Polynomially_reflexive_space (148 words)

	Math Forum - Ask Dr. Math (Site not responding. Last check: 2007-10-21)
		However in the diagram the diagonal is not simply drawn from one corner to the other of one of the one dimensional sides of the cube.
		The space diagonal that you are interested in is the diagonal of this rectangle.
		You can find the length of this diagonal using the Pythagorean theorem in a right triangle whose two sides are (1) a side of the cube and (2) the diagonal of the top face of the cube and whose hypotenuse is the space diagonal.
	forum.swarthmore.edu /dr.math/problems/shott2.14.98.html (439 words)

	Coaching long diagonal passing to exploit space -
		The diagonal corner flag is a good target for direction of the pass.
		The long, low, driven diagonal through ball is actually a different sort of pass than a lofted, arching diagonal ball.
		The low diagonal ball is much more dangerous, because it is a faster pass that allows far less time for either the backs or the keeper to respond to.
	www.websitetoolbox.net /tool/post/andagain/vpost?id=69718 (1313 words)

	Wireless communications system having a layered space-time architecture employing multi-element antennas - Patent ...
		The receiver circuit of claim 6 wherein said preprocessing of said diagonal layer starts with an n-dimensional signal vector received during the earliest point in time along said diagonal layer and ends with the preprocessing of an n-dimensional signal vector received during the latest point in time along said diagonal layer.
		It is assumed that the encoded symbols respectively associated with the diagonal layers beneath the diagonal "a" layer have been successfully detected by the preprocessing and decoding procedures.
		Furthermore, with probability one, the space of vectors perpendicular to H.sub..[k,n], denoted H.sub..[k,n] is k-1 dimensional.
	www.freepatentsonline.com /6097771.html (6242 words)

	Hartford Civic Center Roof Collapse Reason #2 (Site not responding. Last check: 2007-10-21)
		A second theory as to why the roof collapsed was that there was torsional buckling of the diagonal members.
		This means that the truss members twisted and bent instead of bowing under the pressure which is what should have occurred.
		The space frame under the load of the snow chose an easy path of bending rather than its predicted path of compression which caused the buckling.
	cems.alfred.edu /students00/povelaites/reason2.html (100 words)

	Space-time duality thesis
		It claims that by interchange of space and time a meaningful concept in classical imperative programming would lead to a corresponding meaningful concept in the pure object-oriented programming world and conversely.
		The space extent is along the horizontal lines, while the time extent is along the vertical dimension.
		If the agent has enough memory space (which is not a priori possible!), then it may simulate this as follows: it may store the invocation calls in its memory till all the relevant information has been obtained; thereafter it may proceed to satisfy the input request.
	www.comp.nus.edu /~gheorghe/time2sing/papers/stdual.html (2687 words)

	About Crystals, Symmetry and Space Groups
		Generally, a glide is constructed by a mirror operation followed by a translation along a/2, b/2, c/2 (a,b,c), a face diagonal (a+b)/2, (a+c)/2, (b+c)/2 (in all cases denoted n) or, in case of d along (a+b)/4, (a+c)/4 or (b+c)/4.
		The commonly used space group symbols are the short Hermann-Mauguin symbols, consisting of a Bravais symbol followed by the symmetry operators generating the equivalent positions (equipoints).
		In case of the presence of anomalous contributions, a mixing of sin and cos terms breaks the centrosymmetry and the magnitude are not identical for Friedel opposites.
	www.cerm.unifi.it /bioscuola/Presentazione1a.htm (5954 words)

	From Known to New
		For this study I chose to examine and exaggerate the first of the three diagonals: the diagonal public spaces.
		The open space between the main entrance room and the third floor library is also enhanced.
		Therefore, the diagonal in the circulation is given less importance than the public space diagonal.
	undertow.arch.gatech.edu /homepages/gtg165u/arch4420/Study4/dissections/index.html (497 words)

	ISBD(ER): International Standard Bibliographic Description for Electronic Resources
		Each unit of other title information is preceded by a space, colon, space (:), unless a word or phrase is given in the item to link a second or subsequent unit with the preceding unit.
		Each subsequent statement of responsibility is preceded by a space, semi-colon, space (;), unless the statements are considered to form a single phrase.
		Within notes it is recommended, where appropriate, that the prescribed punctuation of areas 1-6 be followed; for example, a title is separated from a statement of responsibility by a space, diagonal slash, space (/).
	www.ifla.org /VII/s13/pubs/isbd3.htm (14354 words)

	Proj1.html (Site not responding. Last check: 2007-10-21)
		Players alternate moves in which they either move in a forward diagonal direction one space (if no other piece currently occupies that space) or "jump" an opposing piece that currently occupies an adjacent diagonal space.
		Since it is not legal to move into a space already occupied by another piece, whether your own or that of the opposing player, it also is not legal to "jump" an opposing piece unless the diagonal space beyond it is available to "land" in by being free of any occupying piece.
		The x piece therefore "lands" in the space diagonally immediately beyond the space o previously occupied, and the o piece is removed from the playing board.
	cs.gmu.edu /~tmaddox/Summer_2001/Sum_proj1.html (1997 words)

	6. Series Area
		Precede the first statement of responsibility relating to a series by a space, diagonal slash, space.
		Precede the title of a subseries by a period, space unless the subseries title is preceded by a series alphabetic or numeric designation, in which case, use a comma, space.
		Punctuation: The acronym ISSN is followed by a space and two groups of four digits separated by a hyphen.
	www.loc.gov /catdir/cpso/chapter6.html (1971 words)

	Werewolf - Tactics Arena Community Forums
		If select non-diagonal space; werewolf will attack that space and the two spaces that are: beside it and diagonal to werewolf.
		If select space diagonal to werewolf; werewolf will attack that space and the two spaces that are: beside it and the werewolf.
		The diagonal attack makes it very difficult to stop this unit from reaching the Cleric, who would die from one swipe of a paw.
	www.tacticsarena.com /forum/showthread.php?t=9909 (529 words)

	Broken space diagonal - Encyclopedia, History, Geography and Biography (Site not responding. Last check: 2007-10-21)
		Broken space diagonal - Encyclopedia, History, Geography and Biography
		In a magic cube, a broken space diagonal is better known as a broken triagonal.
		In a magic square the equivalent would be referred to as a broken diagonal.
	www.arikah.net /encyclopedia/Broken_space_diagonal (77 words)

	Unusual Magic Cubes
		It is generally believed that it is impossible for an 8×8 knight's tour to be diagonally magic, but no final proof of this has yet been given.
		He relaxed the rules by not requiring that the plane diagonals or space diagonal (triagonals) be prime numbers.
		No diagonals of planes parallel to the cube faces are correct.
	members.shaw.ca /hdhcubes/cube_unusual.htm (4258 words)

	Fanorona Chess (Site not responding. Last check: 2007-10-21)
		The first space may be occupied by a piece of either side.
		Actually, Knights may never capture pieces that are not on spaces with diagonal lines, as the topology of the board doesn't allow for it.
		The type of space a piece is on is very important, as Pawns, Queens and Kings are stronger on spaces with diagonal connections (having more moves and captures), but spaces without diagonal connections are safe from attack by both Bishops and Knights.
	www.chessvariants.com /other.dir/fanorona-chess.html (1486 words)

	Sequence rotation in N-dimensional space and the folding of hydrophobic protein models: Surpassing the diagonal ... (Site not responding. Last check: 2007-10-21)
		Sequences were originally designed based on the assumption of a diagonal average unfolded state, i.e., under the assumption that the average number of contacts made by each monomer in the unfolded state is the same for all monomers.
		It is found that the average unfolded state is not diagonal around the folding temperature and that the average number of contacts made by each monomer depends primarily on its own hydrophobicity.
		Folding cooperativity is maximal when polar residues become so hydrophilic that their average number of contacts in the unfolded state approaches zero.
	www.unb.br /ib/cel/chico/artigos/paper5v3/paper5v3.html (295 words)

	Math Forum - Ask Dr. Math (Site not responding. Last check: 2007-10-21)
		I know the combined length of the edges = the cube root of the volume and that the square of the diagonal is equal to the sum of the squared edge lengths.
		Then if this diagonal is D, then d = sqrt(D^2 - p^2) is the length of the diagonal of the face whose area we know.
		If you are looking down on an empty shoebox, the space diagonal would run from the front top left vertex to the back bottom right vertex.
	mathforum.org /library/drmath/view/62976.html (608 words)

	Untitled Page (Site not responding. Last check: 2007-10-21)
		These, also called diagonal Temperley-Lieb invariants, make possible the further introduction of the space of diagonal Temperley-Lieb harmonics and diagonal Temperley-Lieb coinvariant space.
		We present new results and conjectures concerning these spaces, as well as the space obtained as the quotient of the ring of diagonal Temperley-Lieb invariants by the ideal generated by constant term free diagonally symmetric invariants.
		We finally show how this last space and its graded dual Hopf algebra are related to the well known Hopf algebras of symmetric functions, quasi-symmetric functions and noncommutative symmetric functions.
	bergeron.math.uqam.ca /temperley.html (133 words)

	Parachess (Site not responding. Last check: 2007-10-21)
		Moves one step edgewise, diagonally or arcwise to a space where it is safe from capture.
		Leaps two steps away from its starting space: one diagonal step and one step either edgewise or arcwise.
		The Parachess pawn (with four possible moves and up to two captures from any space not on the board’s edge) is more mobile than the standard chess pawn,.
	www.chessvariants.com /shape.dir/parachess.html (740 words)

	The Q \cdot Q Interaction in a (0+2)\hbar ømega Space - Comparison with Elliott's SU Model (Site not responding. Last check: 2007-10-21)
		We compare Elliott's SU model in a 0\hbar ømega space with an extended calculation in a (0+2) \hbar ømega space.
		In a 0\hbar ømega space the diagonal part of Q \cdot Q is a one body potential - 5 \chi/(8 \pi) r^4.
		However in a shell model diagonalization the higher order effects come into play and these other degeneracies are removed by a substantial amount while the supermultiplet degeneracies are maintained.
	flux.aps.org /meetings/BAPSDNP96/abs/S180005.html (269 words)

	Space diagonal - Encyclopedia, History, Geography and Biography (Site not responding. Last check: 2007-10-21)
		Space diagonal - Encyclopedia, History, Geography and Biography
		This page was last modified 03:39, 7 Mar 2005.
		This encyclopedia, history, geography and biography article about Space diagonal contains research on
	www.arikah.net /encyclopedia/Space_diagonal (129 words)

	PlanetMath: diagonal embedding
		We can perform the same construction with objects other than topological spaces: for instance, there's a diagonal map
		-space, which is essentially a topological space in which you can multiply two points together.
		This is version 5 of diagonal embedding, born on 2004-04-29, modified 2004-05-01.
	planetmath.org /encyclopedia/DiagonalMap.html (307 words)

	A Construction of a Space-Time Code Based on Number Theory - Damen, Tewfik, Belfiore (ResearchIndex) (Site not responding. Last check: 2007-10-21)
		10 Signal space diversity: A power and bandwidth e#cient divers..
		3 Double antenna diagonal space-time codes and continued fract..
		The graph only includes citing articles where the year of publication is known.
	citeseer.ist.psu.edu /damen02construction.html (591 words)

	SPACE.com -- Pioneer 10: Farewell to an Old Friend
		This cheery greeting was from the Pioneer 10 spacecraft.
		We were using a research and development antenna, the "Venus" station in the Mojave Desert, part of NASAs Deep Space Network when we saw the first real demonstration of our prototype signal processors capability.
		Astrosociology is the study of astrosocial phenomena (social/cultural patterns related to space), a multidisciplinary field open to all scientists and engineers interested in "space and society" issues.
	www.space.com /searchforlife/seti_pioneer_10_030306.html (784 words)

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